Consider this option:
1. rule: if the scalar product PQ*RS=0, then PQ⊥RS.
2. PQ=(3;-2), RS=(8;1).
3. The scalar product of PQ*RS=3*8-1*2=22≠0. The line included PQ is not perpendicular to the line included RS.
Answer:
15 gallons
Step-by-step explanation:
To find how much the passenger car holds, we need to first find what 50% of the trucks gas tank holds.
Truck Gas Tank = 30 gallons
Now we find how much 50% of 30 is:
50% = 0.50
Total = 30 x 0.50
Total = 15 Gallons
So the passenger car holds 15 gallons of gas.
Given:
Total number of books = 400
fiction books = x + 40
non fiction books = x
x + x + 40 = 400
2x + 40 = 400
2x = 400 - 40
2x = 360
x = 360/2
x = 180 non fiction books
x + 40 = 180 + 40 = 220 fiction books.
Audrey picks a book: P(non fiction) = 180/400
Ryan picks a book: P(non fiction) = 179/399
Answer:
C. -31m⁴n - 8m²
Step-by-step explanation:
Given:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Required:
Determine an expression equivalent to it
Solution:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Distribute the negative sign to open the parentheses
9mn - 19m⁴n - 8m² - 12m⁴n - 9mn
Combine like terms
9mn - 9mn - 19m⁴n - 12m⁴n - 8m²
-31m⁴n - 8m²
Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
